Search a number
-
+
34572241000 = 2353112285721
BaseRepresentation
bin100000001100101010…
…101000100001101000
310022020101202210220101
4200030222220201220
51031300443203000
623514323035144
72332506125353
oct401452504150
9108211683811
1034572241000
1113731146400
12684a20bab4
13334c71344b
14195d79b29a
15d75236e6a
hex80caa8868

34572241000 has 96 divisors (see below), whose sum is σ = 88922400840. Its totient is φ = 12571680000.

The previous prime is 34572240977. The next prime is 34572241009. The reversal of 34572241000 is 14227543.

It can be written as a sum of positive squares in 4 ways, for example, as 11146714084 + 23425526916 = 105578^2 + 153054^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34572241000.

It is not an unprimeable number, because it can be changed into a prime (34572241009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21861 + ... + 263860.

Almost surely, 234572241000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34572241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44461200420).

34572241000 is an abundant number, since it is smaller than the sum of its proper divisors (54350159840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34572241000 is a wasteful number, since it uses less digits than its factorization.

34572241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285764 (or 285739 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

Adding to 34572241000 its reverse (14227543), we get a palindrome (34586468543).

It can be divided in two parts, 34572 and 241000, that added together give a palindrome (275572).

The spelling of 34572241000 in words is "thirty-four billion, five hundred seventy-two million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 121000 285721 571442 1142884 1428605 2285768 2857210 3142931 5714420 6285862 7143025 11428840 12571724 14286050 15714655 25143448 28572100 31429310 34572241 35715125 57144200 62858620 69144482 71430250 78573275 125717240 138288964 142860500 157146550 172861205 276577928 285721000 314293100 345722410 392866375 628586200 691444820 785732750 864306025 1382889640 1571465500 1728612050 3142931000 3457224100 4321530125 6914448200 8643060250 17286120500 34572241000